312040345550305 has 24 divisors (see below), whose sum is σ = 395615245981032. Its totient is φ = 236241339699456.

The previous prime is 312040345550237. The next prime is 312040345550309. The reversal of 312040345550305 is 503055543040213.

It can be written as a sum of positive squares in 4 ways, for example, as 122925268449 + 311917420281856 = 350607^2 + 17661184^2 .

It is not a de Polignac number, because 312040345550305 - 2¹¹ = 312040345548257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312040345550309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90558202 + ... + 93940771.

It is an arithmetic number, because the mean of its divisors is an integer number (16483968582543).

Almost surely, 2^{312040345550305} is an apocalyptic number.

It is an amenable number.

312040345550305 is a deficient number, since it is larger than the sum of its proper divisors (83574900430727).

312040345550305 is a wasteful number, since it uses less digits than its factorization.

312040345550305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184499953 (or 184499934 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

Adding to 312040345550305 its reverse (503055543040213), we get a palindrome (815095888590518).

The spelling of 312040345550305 in words is "three hundred twelve trillion, forty billion, three hundred forty-five million, five hundred fifty thousand, three hundred five".